This paper develops a general valuation approach to price barrier options when the term structure of interest rates is stochastic. These products' barriers may be constant or stochastic, in particular we examine the case of discounted barriers (at the instantaneous interest rate). So, in...

We conduct a simultaneous test for several rational and behavioral factors which have been hypothesized to affect the uptake of life annuities on a sample of American individuals. In addition, we investigate whether analysts' stock market expectations affect the decision to annuitize retirement...

It is now known that the very impressive investment returns generated by Bernie Madoff were based on a sophisticated Ponzi scheme. Madoff claimed to use a split-strike conversion strategy. This strategy consists of a long equity position plus a long put and a short call. In this paper we examine...

In this article, we propose a new method to price numerically Parisian options by inversion of Laplace transform. We compare this method to other more traditional approaches (Monte-Carlo simulations and partial differential equation solving). We show that this method converges more rapidly and...

We perform a simultaneous test for several rational and behavioral factors known to affect the uptake of life annuities in a sample of Americans. We also investigate whether analysts' short-term stock market expectations affect the decision to annuitize retirement wealth. We find that facing...

Although a few systemic risk management approaches have been proposed in the literature and implemented in industry, such as stress test-based scenarios, the impact of such regulations remains unclear. In this paper, we present a theoretical framework to study the impact of systemic risk...

This paper proposes a technique to derive the optimal surrender strategy for a variable annuity (VA) as a function of the underlying fund value. This approach is based on splitting the value of the VA into a European part and an early exercise premium following the work of Kim and Yu (1996) and...

Lions and Musiela (2007) give sufficient conditions to verify when a stochastic exponential of a continuous local martingale is a martingale or a uniformly integrable martingale. Blei and Engelbert (2009) and Mijatovi c and Urusov (2012c) give necessary and sufficient conditions in the case of...

In stochastic volatility models based on time-homogeneous diff usions, we provide a simple necessary and suffi cient condition for the discretely sampled fair strike of a variance swap to converge to the continuously sampled fair strike. It extends Theorem 3.8 of Jarrow, Kchia, Larsson and...

This study is devoted to the calculation of appropriate premia and loadings for participating contracts. Our analysis aims at extending the ideas of Buehlmann [2004], and is sequencing the fundamental works of Merton [1974], Longstaff and Schwartz [1995], Briys and de Varenne [1994, 2001]....